The solution of the equation 3(x + 3) = 12 is

Question 5 options:

1


2


3


4

Answer:

  (a)  90°

Step-by-step explanation:

A graph can help you answer the question about where the graphs of the two functions intersect. It shows the one angle of intersection to be 90°.

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You can also determine this analytically.

  f(x) = g(x)

  cos(x/2) = √2 -cos(x/2)

  2cos(x/2) = √2 . . . . . . . . . . add cos(x/2)

  cos(x/2) = √2/2 . . . . . . . . divide by 2

  x/2 = ±45° +360°×n . . . . . for an integer n

  x = ±90 +720°×n . . . . multiply by 2

  x = 90° is the only solution in the desired range.

Answer:

d

Step-by-step explanation:

cause this means that it is rise over run

Answer:

Your Estimated Equations and Answers: 6+9= 15 ; 16+12 = 28

Step-by-step explanation:

Estimating can be equivalent to rounding. This is because you're trying to find an approximate number or sum.

6.48 + 9.34 is your first question.

You should round it to the nearest whole number.

6.48 ~ 6 and 9.34 ~ 9

*Rounding rules applied here*

(~ this sign is the approximate or rounded to symbol)

Now, do 6+9 =

6+9= 15

______________________________________________

15.71 + 12.2 is your next question.

Same as last, round to the nearest whole number.

15.71 ~ 16 and 12.2 ~ 12

Now, do 16+12

16+12 = 28

Answer:

Wow that's a lot of questions. The answers are 2, 3/4, 4, 6, 10, 5, 48500, 48000, and 50000

Step-by-step explanation:

Hope this helped

Answer:

1 + G = Push in p To Much P

Step-by-step explanation:

g= gunnaaa 1+gunnaaa = push  ing P

First, how many days are in a week?

First, Convert any mixed numbers to fractions.

Then your initial equation becomes:

2/3×7/1

Applying the fractions formula for multiplication,

=2×7 x 3×1

=14/3

Simplifying 14/3, the answer is

4 and 2/3

Therefor, your answer is 4 2/3

Answer:

Option C) is correct......

Answer:

5 and 6 are vertical

1 and 2 are linear pair

Step-by-step explanation:

1 and 2 are linear pair because they add up to 180 degrees

5 and 6 are across from each other so they are vertical angles

Answer:

Past due bills

social security number

mortgage payment

Answer:12=59

Step-by-step explanation:

[tex]s^2+10s+25\\\\=s^2+2\cdot 5 \cdot s +5^2\\\\=(s+5)^2\\\\=(s+5)(s+5)[/tex]

Answer:

2,500 square feet is the answer

Answer:

D. 4

Step-by-step explanation:

1) Subtract 5/8 from both sides.

1/n = 7/8 - 5/8

2) Simplify 7/8 - 5/8 to 1/4.

1/n = 1/4

3) Multiply both sides by n.

1 = 1/4n
4) Simplify 1/4n to n/4.

1 = n/4

5) Multiply both sides by 4.

1 * 4 = n

6) Simplify 1 * 4 to 4.

4 = n

7) Switch sides.

n = 4

Check Answer:

5/8 + 1/n = 7/8

1) Let n = 4.

5/8 + 1/4 = 7/8

2) Simplify 5/8 + 1/4 to 7/8.

7/8 = 7/8

Answer:

x = -5 plus/minus sqrt( 26 )

Step-by-step explanation:

Let's remember the binomial square formula

A^2 + 2AB + B^2 = (A + B)^2

We have:

x^2 + 2*5x -1

Hence, if we replace

A = x

B = 5

we get a perfect square: x^2 + 2*5x + 25 = (x + 5)^2.      [++]

Based on this reasoning, let's set f(x) = 0

x^2 +10x -1 = 0

Let's add 26 on both terms:

x^2 +10x +25 = 26

Based on [++]:   (x + 5)^2 = 26

Square root on both sides

(x + 5) = plus/minus sqrt (26)

x = -5 plus/minus sqrt (26)

[tex]\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2[/tex]

Answer:

Step-by-step explanation:

Arithmetic sequence:

[tex]\boxed{a_n =a + (n-1)*d)}[/tex]

a₅ = 10    a + 4d = 10

a₆ = 8     a + 5d = 8

Multiply the equation (I) by (-1) and then add. 'a' will be eliminated and we can find the value of 'd'

(I)*(-1)     -a - 4d = -10

(II)          a + 5d = 8     {Now add}

                     d = -2

Substitute d = -2 in equation (I)

 a + 4*(-2) = 10

 a -  8       = 10

           a   = 10 + 8

a =  18

a = 18 , d = -2

Sequence:  18 ,16 , 14 , 12 , 10 , ......

Answer:

-3/2

Step-by-step explanation:

6=|x|+3-x

move the terms

-|x|+x=3-6

-|x|+x=-3

-x+x=-3 , x > 0 (put a line under >)

-(-x)+x=-3 , x < 0

-3/2 , x < 0 find the intersection

x= -3/2

if you dont want it as a fraction you can do -1.5 in decimal form

Answer:

z=60º, x=10º

Step-by-step explanation:

Question 1: 180º - 120º = 60º

Question 2:

(9x+30) = 120º

-30          -30

9x=90º

/9    /9

x=10º

Linear equations are commonly organized in slope-intercept form:

[tex]y=mx+b[/tex]

To find the equation of a line given two points:

We're given:

First, determine the slope using the following formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

⇒ Plug in the given points (8,-45) and (2,-9):

[tex]m=\dfrac{-45-(-9)}{8-2}\\\\m=\dfrac{-45+9}{8-2}\\\\m=\dfrac{-36}{6}\\\\m=-6[/tex]

Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=-6x+b[/tex]

Now, determine the y-intercept:

[tex]y=-6x+b[/tex]

⇒ Plug in one of the given points as (x,y) and solve for b:

[tex]-9=-6(2)+b\\-9=-12+b\\3=b[/tex]

Therefore the y-intercept of the line is 3. Plug this back into [tex]y=-6x+b[/tex]:

[tex]y=-6x+3[/tex]

[tex]y=-6x+3[/tex]

Answer:

the volume is 300cubic inches

the expression is l x w x (h-2)

Answer:

370

Step-by-step explanation:

FV = PV ( 1 + i)      i = interst in decimal

400 = PV ( 1.08)

PV = 400 / 1.08 =

basically it's a quadrilateral

hope it really helps..!!

Answer:

Step-by-step explanation:

32*9*21

Finding volume is simple as pie for a cube.

Length*Height*width

Answer:

C. (1,0)

Step-by-step explanation:

If we make use of a parabolic reflecting mirror and a light source.

Given thar the equation of parabolic mirror is Y2 = 4ax

The given data in the problem is x = 1 and y = 2

So subject value is y2 = 4ax

4 = 4 a (1)

a = 1

So x = 1

thus focus is at (x, y) = (1,0)

Therefore, option C is correct answer.

Answer: 60 miles

Step-by-step explanation: If you draw it out you get a triangle with side lengths 48 and 36 and you need to find the hypotenuse.

Use pythagorean's theorem a^2+b^2=c^2 or 48^2+36^2=c^2 and you get that the hypotenuse=60

Answer:

2

Step-by-step explanation:

Factors of 34 include : 1,2,17 and 34

Factors of 36 are : 1,2,3,4,6,9,12,18,36

The only two common are 1 and 2

2 is greater tha one

So the gcf is 2.

Brainliest would be appreciated

Answer:

The greatest common factor is 2.

Step-by-step explanation:

You need to find the greatest common factor between 34 and 36.

Factors of 34: 1, 2, 17, and 34.

1*34=34

2*17=34

17*2=34

34*1=34

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36.

I hope this helps! Let me know if you have any questions.

Answer: 90 degrees

Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide

360/4 = 90 (: hope this helps

Answer:

90* x 4 = 360*

360* / 4 = 90*

Step-by-step explanation:

A circle has 360* all around.

In the angle that was drawn, it is 90*

The degrees for the space outside of 90* is x

x = ?                360* - 90* = 280*                 x = 280*

hope this helped

Answer: There is not enough evidence to support a relationship between lunch preference and role at the school.